Properties

Label 585.2.i.h.196.6
Level $585$
Weight $2$
Character 585.196
Analytic conductor $4.671$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.i (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(15\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 196.6
Character \(\chi\) \(=\) 585.196
Dual form 585.2.i.h.391.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.332241 + 0.575458i) q^{2} +(-0.727463 + 1.57188i) q^{3} +(0.779232 + 1.34967i) q^{4} +(0.500000 + 0.866025i) q^{5} +(-0.662856 - 0.940866i) q^{6} +(-1.40460 + 2.43283i) q^{7} -2.36453 q^{8} +(-1.94159 - 2.28697i) q^{9} +O(q^{10})\) \(q+(-0.332241 + 0.575458i) q^{2} +(-0.727463 + 1.57188i) q^{3} +(0.779232 + 1.34967i) q^{4} +(0.500000 + 0.866025i) q^{5} +(-0.662856 - 0.940866i) q^{6} +(-1.40460 + 2.43283i) q^{7} -2.36453 q^{8} +(-1.94159 - 2.28697i) q^{9} -0.664482 q^{10} +(-0.115146 + 0.199439i) q^{11} +(-2.68838 + 0.243022i) q^{12} +(-0.500000 - 0.866025i) q^{13} +(-0.933329 - 1.61657i) q^{14} +(-1.72502 + 0.155937i) q^{15} +(-0.772870 + 1.33865i) q^{16} -3.24172 q^{17} +(1.96113 - 0.357482i) q^{18} +3.80076 q^{19} +(-0.779232 + 1.34967i) q^{20} +(-2.80232 - 3.97765i) q^{21} +(-0.0765124 - 0.132523i) q^{22} +(1.25026 + 2.16552i) q^{23} +(1.72011 - 3.71676i) q^{24} +(-0.500000 + 0.866025i) q^{25} +0.664482 q^{26} +(5.00727 - 1.38826i) q^{27} -4.37803 q^{28} +(2.64853 - 4.58739i) q^{29} +(0.483386 - 1.04448i) q^{30} +(2.05661 + 3.56215i) q^{31} +(-2.87809 - 4.98500i) q^{32} +(-0.229728 - 0.326080i) q^{33} +(1.07703 - 1.86547i) q^{34} -2.80920 q^{35} +(1.57370 - 4.40259i) q^{36} +2.95700 q^{37} +(-1.26277 + 2.18718i) q^{38} +(1.72502 - 0.155937i) q^{39} +(-1.18227 - 2.04775i) q^{40} +(-1.74574 - 3.02371i) q^{41} +(3.22002 - 0.291080i) q^{42} +(-5.66677 + 9.81514i) q^{43} -0.358902 q^{44} +(1.00977 - 2.82495i) q^{45} -1.66155 q^{46} +(0.720625 - 1.24816i) q^{47} +(-1.54196 - 2.18867i) q^{48} +(-0.445790 - 0.772130i) q^{49} +(-0.332241 - 0.575458i) q^{50} +(2.35823 - 5.09558i) q^{51} +(0.779232 - 1.34967i) q^{52} -3.34833 q^{53} +(-0.864732 + 3.34271i) q^{54} -0.230292 q^{55} +(3.32122 - 5.75252i) q^{56} +(-2.76491 + 5.97432i) q^{57} +(1.75990 + 3.04823i) q^{58} +(-3.89632 - 6.74863i) q^{59} +(-1.55465 - 2.20669i) q^{60} +(-5.04095 + 8.73119i) q^{61} -2.73316 q^{62} +(8.29097 - 1.51131i) q^{63} +0.733399 q^{64} +(0.500000 - 0.866025i) q^{65} +(0.263970 - 0.0238621i) q^{66} +(-1.00966 - 1.74879i) q^{67} +(-2.52605 - 4.37525i) q^{68} +(-4.31345 + 0.389923i) q^{69} +(0.933329 - 1.61657i) q^{70} -3.51686 q^{71} +(4.59096 + 5.40761i) q^{72} -5.30003 q^{73} +(-0.982436 + 1.70163i) q^{74} +(-0.997554 - 1.41594i) q^{75} +(2.96167 + 5.12977i) q^{76} +(-0.323467 - 0.560262i) q^{77} +(-0.483386 + 1.04448i) q^{78} +(2.69870 - 4.67428i) q^{79} -1.54574 q^{80} +(-1.46043 + 8.88072i) q^{81} +2.32003 q^{82} +(-0.0501921 + 0.0869352i) q^{83} +(3.18486 - 6.88173i) q^{84} +(-1.62086 - 2.80741i) q^{85} +(-3.76547 - 6.52198i) q^{86} +(5.28410 + 7.50032i) q^{87} +(0.272266 - 0.471579i) q^{88} +7.04620 q^{89} +(1.29015 + 1.51965i) q^{90} +2.80920 q^{91} +(-1.94849 + 3.37488i) q^{92} +(-7.09538 + 0.641401i) q^{93} +(0.478842 + 0.829379i) q^{94} +(1.90038 + 3.29155i) q^{95} +(9.92951 - 0.897599i) q^{96} +(-1.63221 + 2.82707i) q^{97} +0.592438 q^{98} +(0.679676 - 0.123894i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q + q^{2} + q^{3} - 21 q^{4} + 15 q^{5} - 9 q^{6} - 10 q^{7} + q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 30 q + q^{2} + q^{3} - 21 q^{4} + 15 q^{5} - 9 q^{6} - 10 q^{7} + q^{9} + 2 q^{10} + 9 q^{11} + 18 q^{12} - 15 q^{13} + 3 q^{14} + 2 q^{15} - 33 q^{16} + 6 q^{17} + 9 q^{18} + 30 q^{19} + 21 q^{20} + 9 q^{21} - 10 q^{22} - 6 q^{23} + 24 q^{24} - 15 q^{25} - 2 q^{26} - 2 q^{27} + 70 q^{28} + 8 q^{29} - 6 q^{30} - 22 q^{31} + 21 q^{32} - 20 q^{33} - 9 q^{34} - 20 q^{35} - 7 q^{36} + 8 q^{37} - 14 q^{38} - 2 q^{39} + 13 q^{41} + 21 q^{42} - 24 q^{43} + 10 q^{44} - 7 q^{45} - 6 q^{46} - q^{47} - 27 q^{48} - 37 q^{49} + q^{50} - q^{51} - 21 q^{52} + 14 q^{53} - 24 q^{54} + 18 q^{55} + 17 q^{56} - 55 q^{57} - 22 q^{58} + 19 q^{59} + 9 q^{60} - 16 q^{61} + 26 q^{62} + 4 q^{63} + 72 q^{64} + 15 q^{65} + 24 q^{66} - 11 q^{67} - 28 q^{68} + 44 q^{69} - 3 q^{70} - 56 q^{71} - 18 q^{72} + 52 q^{73} + 8 q^{74} + q^{75} - 18 q^{76} - 24 q^{77} + 6 q^{78} - 44 q^{79} - 66 q^{80} + 37 q^{81} + 70 q^{82} - 3 q^{83} - 139 q^{84} + 3 q^{85} + 40 q^{86} + 60 q^{87} - 37 q^{88} - 8 q^{89} - 12 q^{90} + 20 q^{91} - 74 q^{92} - 55 q^{93} - 2 q^{94} + 15 q^{95} + 55 q^{96} - 33 q^{97} + 6 q^{98} + 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.332241 + 0.575458i −0.234930 + 0.406910i −0.959252 0.282551i \(-0.908819\pi\)
0.724323 + 0.689461i \(0.242153\pi\)
\(3\) −0.727463 + 1.57188i −0.420001 + 0.907524i
\(4\) 0.779232 + 1.34967i 0.389616 + 0.674835i
\(5\) 0.500000 + 0.866025i 0.223607 + 0.387298i
\(6\) −0.662856 0.940866i −0.270610 0.384107i
\(7\) −1.40460 + 2.43283i −0.530888 + 0.919525i 0.468462 + 0.883484i \(0.344808\pi\)
−0.999350 + 0.0360416i \(0.988525\pi\)
\(8\) −2.36453 −0.835989
\(9\) −1.94159 2.28697i −0.647198 0.762322i
\(10\) −0.664482 −0.210128
\(11\) −0.115146 + 0.199439i −0.0347178 + 0.0601330i −0.882862 0.469632i \(-0.844387\pi\)
0.848144 + 0.529765i \(0.177720\pi\)
\(12\) −2.68838 + 0.243022i −0.776068 + 0.0701543i
\(13\) −0.500000 0.866025i −0.138675 0.240192i
\(14\) −0.933329 1.61657i −0.249443 0.432048i
\(15\) −1.72502 + 0.155937i −0.445397 + 0.0402626i
\(16\) −0.772870 + 1.33865i −0.193217 + 0.334662i
\(17\) −3.24172 −0.786232 −0.393116 0.919489i \(-0.628603\pi\)
−0.393116 + 0.919489i \(0.628603\pi\)
\(18\) 1.96113 0.357482i 0.462243 0.0842593i
\(19\) 3.80076 0.871954 0.435977 0.899958i \(-0.356403\pi\)
0.435977 + 0.899958i \(0.356403\pi\)
\(20\) −0.779232 + 1.34967i −0.174242 + 0.301795i
\(21\) −2.80232 3.97765i −0.611517 0.867995i
\(22\) −0.0765124 0.132523i −0.0163125 0.0282541i
\(23\) 1.25026 + 2.16552i 0.260698 + 0.451542i 0.966428 0.256939i \(-0.0827141\pi\)
−0.705730 + 0.708481i \(0.749381\pi\)
\(24\) 1.72011 3.71676i 0.351116 0.758680i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) 0.664482 0.130316
\(27\) 5.00727 1.38826i 0.963649 0.267171i
\(28\) −4.37803 −0.827370
\(29\) 2.64853 4.58739i 0.491820 0.851857i −0.508136 0.861277i \(-0.669665\pi\)
0.999956 + 0.00942032i \(0.00299862\pi\)
\(30\) 0.483386 1.04448i 0.0882538 0.190696i
\(31\) 2.05661 + 3.56215i 0.369378 + 0.639782i 0.989468 0.144749i \(-0.0462374\pi\)
−0.620090 + 0.784530i \(0.712904\pi\)
\(32\) −2.87809 4.98500i −0.508780 0.881232i
\(33\) −0.229728 0.326080i −0.0399906 0.0567632i
\(34\) 1.07703 1.86547i 0.184709 0.319926i
\(35\) −2.80920 −0.474841
\(36\) 1.57370 4.40259i 0.262283 0.733765i
\(37\) 2.95700 0.486128 0.243064 0.970010i \(-0.421848\pi\)
0.243064 + 0.970010i \(0.421848\pi\)
\(38\) −1.26277 + 2.18718i −0.204848 + 0.354807i
\(39\) 1.72502 0.155937i 0.276224 0.0249698i
\(40\) −1.18227 2.04775i −0.186933 0.323777i
\(41\) −1.74574 3.02371i −0.272639 0.472224i 0.696898 0.717170i \(-0.254563\pi\)
−0.969537 + 0.244946i \(0.921230\pi\)
\(42\) 3.22002 0.291080i 0.496860 0.0449147i
\(43\) −5.66677 + 9.81514i −0.864175 + 1.49679i 0.00368958 + 0.999993i \(0.498826\pi\)
−0.867864 + 0.496801i \(0.834508\pi\)
\(44\) −0.358902 −0.0541065
\(45\) 1.00977 2.82495i 0.150528 0.421119i
\(46\) −1.66155 −0.244983
\(47\) 0.720625 1.24816i 0.105114 0.182063i −0.808671 0.588261i \(-0.799813\pi\)
0.913785 + 0.406199i \(0.133146\pi\)
\(48\) −1.54196 2.18867i −0.222562 0.315908i
\(49\) −0.445790 0.772130i −0.0636842 0.110304i
\(50\) −0.332241 0.575458i −0.0469859 0.0813820i
\(51\) 2.35823 5.09558i 0.330218 0.713524i
\(52\) 0.779232 1.34967i 0.108060 0.187165i
\(53\) −3.34833 −0.459929 −0.229964 0.973199i \(-0.573861\pi\)
−0.229964 + 0.973199i \(0.573861\pi\)
\(54\) −0.864732 + 3.34271i −0.117675 + 0.454885i
\(55\) −0.230292 −0.0310526
\(56\) 3.32122 5.75252i 0.443817 0.768713i
\(57\) −2.76491 + 5.97432i −0.366222 + 0.791318i
\(58\) 1.75990 + 3.04823i 0.231086 + 0.400253i
\(59\) −3.89632 6.74863i −0.507258 0.878596i −0.999965 0.00840088i \(-0.997326\pi\)
0.492707 0.870195i \(-0.336007\pi\)
\(60\) −1.55465 2.20669i −0.200705 0.284883i
\(61\) −5.04095 + 8.73119i −0.645428 + 1.11791i 0.338775 + 0.940868i \(0.389988\pi\)
−0.984203 + 0.177046i \(0.943346\pi\)
\(62\) −2.73316 −0.347112
\(63\) 8.29097 1.51131i 1.04456 0.190407i
\(64\) 0.733399 0.0916749
\(65\) 0.500000 0.866025i 0.0620174 0.107417i
\(66\) 0.263970 0.0238621i 0.0324925 0.00293723i
\(67\) −1.00966 1.74879i −0.123350 0.213649i 0.797737 0.603006i \(-0.206030\pi\)
−0.921087 + 0.389357i \(0.872697\pi\)
\(68\) −2.52605 4.37525i −0.306328 0.530576i
\(69\) −4.31345 + 0.389923i −0.519278 + 0.0469412i
\(70\) 0.933329 1.61657i 0.111554 0.193218i
\(71\) −3.51686 −0.417375 −0.208687 0.977982i \(-0.566919\pi\)
−0.208687 + 0.977982i \(0.566919\pi\)
\(72\) 4.59096 + 5.40761i 0.541050 + 0.637293i
\(73\) −5.30003 −0.620322 −0.310161 0.950684i \(-0.600383\pi\)
−0.310161 + 0.950684i \(0.600383\pi\)
\(74\) −0.982436 + 1.70163i −0.114206 + 0.197810i
\(75\) −0.997554 1.41594i −0.115188 0.163499i
\(76\) 2.96167 + 5.12977i 0.339727 + 0.588425i
\(77\) −0.323467 0.560262i −0.0368625 0.0638478i
\(78\) −0.483386 + 1.04448i −0.0547327 + 0.118264i
\(79\) 2.69870 4.67428i 0.303627 0.525898i −0.673327 0.739344i \(-0.735136\pi\)
0.976955 + 0.213446i \(0.0684689\pi\)
\(80\) −1.54574 −0.172819
\(81\) −1.46043 + 8.88072i −0.162270 + 0.986746i
\(82\) 2.32003 0.256204
\(83\) −0.0501921 + 0.0869352i −0.00550930 + 0.00954238i −0.868767 0.495221i \(-0.835087\pi\)
0.863258 + 0.504764i \(0.168420\pi\)
\(84\) 3.18486 6.88173i 0.347496 0.750858i
\(85\) −1.62086 2.80741i −0.175807 0.304506i
\(86\) −3.76547 6.52198i −0.406041 0.703283i
\(87\) 5.28410 + 7.50032i 0.566515 + 0.804119i
\(88\) 0.272266 0.471579i 0.0290237 0.0502705i
\(89\) 7.04620 0.746896 0.373448 0.927651i \(-0.378175\pi\)
0.373448 + 0.927651i \(0.378175\pi\)
\(90\) 1.29015 + 1.51965i 0.135994 + 0.160185i
\(91\) 2.80920 0.294484
\(92\) −1.94849 + 3.37488i −0.203144 + 0.351856i
\(93\) −7.09538 + 0.641401i −0.735756 + 0.0665102i
\(94\) 0.478842 + 0.829379i 0.0493888 + 0.0855439i
\(95\) 1.90038 + 3.29155i 0.194975 + 0.337706i
\(96\) 9.92951 0.897599i 1.01343 0.0916109i
\(97\) −1.63221 + 2.82707i −0.165726 + 0.287046i −0.936913 0.349563i \(-0.886330\pi\)
0.771187 + 0.636609i \(0.219663\pi\)
\(98\) 0.592438 0.0598453
\(99\) 0.679676 0.123894i 0.0683100 0.0124518i
\(100\) −1.55846 −0.155846
\(101\) −5.57900 + 9.66312i −0.555132 + 0.961516i 0.442762 + 0.896639i \(0.353999\pi\)
−0.997893 + 0.0648769i \(0.979335\pi\)
\(102\) 2.14879 + 3.05002i 0.212762 + 0.301997i
\(103\) 6.33925 + 10.9799i 0.624625 + 1.08188i 0.988613 + 0.150479i \(0.0480815\pi\)
−0.363988 + 0.931404i \(0.618585\pi\)
\(104\) 1.18227 + 2.04775i 0.115931 + 0.200798i
\(105\) 2.04359 4.41571i 0.199434 0.430929i
\(106\) 1.11245 1.92682i 0.108051 0.187150i
\(107\) 4.15748 0.401919 0.200959 0.979600i \(-0.435594\pi\)
0.200959 + 0.979600i \(0.435594\pi\)
\(108\) 5.77552 + 5.67638i 0.555750 + 0.546210i
\(109\) −4.90157 −0.469485 −0.234742 0.972058i \(-0.575425\pi\)
−0.234742 + 0.972058i \(0.575425\pi\)
\(110\) 0.0765124 0.132523i 0.00729517 0.0126356i
\(111\) −2.15111 + 4.64804i −0.204174 + 0.441172i
\(112\) −2.17114 3.76053i −0.205154 0.355336i
\(113\) 8.07368 + 13.9840i 0.759508 + 1.31551i 0.943102 + 0.332504i \(0.107894\pi\)
−0.183594 + 0.983002i \(0.558773\pi\)
\(114\) −2.51935 3.57600i −0.235959 0.334924i
\(115\) −1.25026 + 2.16552i −0.116588 + 0.201936i
\(116\) 8.25528 0.766483
\(117\) −1.00977 + 2.82495i −0.0933536 + 0.261167i
\(118\) 5.17807 0.476680
\(119\) 4.55331 7.88656i 0.417401 0.722960i
\(120\) 4.07886 0.368717i 0.372347 0.0336591i
\(121\) 5.47348 + 9.48035i 0.497589 + 0.861850i
\(122\) −3.34962 5.80171i −0.303260 0.525262i
\(123\) 6.02286 0.544450i 0.543063 0.0490914i
\(124\) −3.20515 + 5.55149i −0.287831 + 0.498538i
\(125\) −1.00000 −0.0894427
\(126\) −1.88490 + 5.27322i −0.167921 + 0.469776i
\(127\) 17.7472 1.57481 0.787404 0.616438i \(-0.211425\pi\)
0.787404 + 0.616438i \(0.211425\pi\)
\(128\) 5.51252 9.54796i 0.487242 0.843929i
\(129\) −11.3058 16.0476i −0.995422 1.41291i
\(130\) 0.332241 + 0.575458i 0.0291394 + 0.0504710i
\(131\) 7.57097 + 13.1133i 0.661479 + 1.14571i 0.980227 + 0.197876i \(0.0634042\pi\)
−0.318748 + 0.947839i \(0.603262\pi\)
\(132\) 0.261088 0.564149i 0.0227248 0.0491029i
\(133\) −5.33854 + 9.24661i −0.462910 + 0.801783i
\(134\) 1.34181 0.115914
\(135\) 3.70590 + 3.64229i 0.318953 + 0.313478i
\(136\) 7.66515 0.657281
\(137\) −10.4043 + 18.0207i −0.888896 + 1.53961i −0.0477139 + 0.998861i \(0.515194\pi\)
−0.841182 + 0.540752i \(0.818140\pi\)
\(138\) 1.20872 2.61176i 0.102893 0.222327i
\(139\) 3.36287 + 5.82466i 0.285235 + 0.494041i 0.972666 0.232208i \(-0.0745951\pi\)
−0.687431 + 0.726249i \(0.741262\pi\)
\(140\) −2.18902 3.79149i −0.185006 0.320439i
\(141\) 1.43772 + 2.04072i 0.121078 + 0.171860i
\(142\) 1.16844 2.02381i 0.0980537 0.169834i
\(143\) 0.230292 0.0192580
\(144\) 4.56204 0.831587i 0.380170 0.0692989i
\(145\) 5.29706 0.439897
\(146\) 1.76089 3.04995i 0.145732 0.252415i
\(147\) 1.53799 0.139030i 0.126851 0.0114670i
\(148\) 2.30419 + 3.99097i 0.189403 + 0.328056i
\(149\) −11.0995 19.2249i −0.909306 1.57496i −0.815031 0.579418i \(-0.803280\pi\)
−0.0942751 0.995546i \(-0.530053\pi\)
\(150\) 1.14624 0.103617i 0.0935903 0.00846029i
\(151\) −2.01163 + 3.48424i −0.163704 + 0.283544i −0.936194 0.351483i \(-0.885678\pi\)
0.772490 + 0.635027i \(0.219011\pi\)
\(152\) −8.98702 −0.728944
\(153\) 6.29410 + 7.41369i 0.508847 + 0.599362i
\(154\) 0.429876 0.0346404
\(155\) −2.05661 + 3.56215i −0.165191 + 0.286119i
\(156\) 1.55465 + 2.20669i 0.124472 + 0.176677i
\(157\) −10.9161 18.9073i −0.871201 1.50896i −0.860756 0.509019i \(-0.830008\pi\)
−0.0104452 0.999945i \(-0.503325\pi\)
\(158\) 1.79324 + 3.10598i 0.142662 + 0.247098i
\(159\) 2.43579 5.26317i 0.193171 0.417396i
\(160\) 2.87809 4.98500i 0.227533 0.394099i
\(161\) −7.02446 −0.553605
\(162\) −4.62527 3.79095i −0.363395 0.297845i
\(163\) 10.4867 0.821381 0.410690 0.911775i \(-0.365288\pi\)
0.410690 + 0.911775i \(0.365288\pi\)
\(164\) 2.72067 4.71235i 0.212449 0.367972i
\(165\) 0.167529 0.361990i 0.0130421 0.0281809i
\(166\) −0.0333517 0.0577669i −0.00258859 0.00448358i
\(167\) −3.30617 5.72645i −0.255839 0.443126i 0.709284 0.704923i \(-0.249018\pi\)
−0.965123 + 0.261797i \(0.915685\pi\)
\(168\) 6.62619 + 9.40530i 0.511221 + 0.725634i
\(169\) −0.500000 + 0.866025i −0.0384615 + 0.0666173i
\(170\) 2.15406 0.165209
\(171\) −7.37953 8.69220i −0.564327 0.664709i
\(172\) −17.6629 −1.34679
\(173\) −8.64411 + 14.9720i −0.657200 + 1.13830i 0.324138 + 0.946010i \(0.394926\pi\)
−0.981338 + 0.192293i \(0.938408\pi\)
\(174\) −6.07171 + 0.548865i −0.460295 + 0.0416094i
\(175\) −1.40460 2.43283i −0.106178 0.183905i
\(176\) −0.177986 0.308280i −0.0134162 0.0232375i
\(177\) 13.4424 1.21516i 1.01040 0.0913368i
\(178\) −2.34104 + 4.05479i −0.175468 + 0.303920i
\(179\) 15.1868 1.13512 0.567558 0.823333i \(-0.307888\pi\)
0.567558 + 0.823333i \(0.307888\pi\)
\(180\) 4.59960 0.838433i 0.342834 0.0624931i
\(181\) 24.3392 1.80912 0.904559 0.426348i \(-0.140200\pi\)
0.904559 + 0.426348i \(0.140200\pi\)
\(182\) −0.933329 + 1.61657i −0.0691830 + 0.119828i
\(183\) −10.0572 14.2754i −0.743453 1.05527i
\(184\) −2.95629 5.12044i −0.217940 0.377484i
\(185\) 1.47850 + 2.56084i 0.108701 + 0.188276i
\(186\) 1.98827 4.29619i 0.145787 0.315012i
\(187\) 0.373270 0.646523i 0.0272962 0.0472785i
\(188\) 2.24614 0.163816
\(189\) −3.65579 + 14.1318i −0.265919 + 1.02794i
\(190\) −2.52553 −0.183221
\(191\) −7.13201 + 12.3530i −0.516054 + 0.893832i 0.483772 + 0.875194i \(0.339266\pi\)
−0.999826 + 0.0186379i \(0.994067\pi\)
\(192\) −0.533521 + 1.15281i −0.0385036 + 0.0831971i
\(193\) −12.7915 22.1556i −0.920756 1.59480i −0.798249 0.602328i \(-0.794240\pi\)
−0.122507 0.992468i \(-0.539093\pi\)
\(194\) −1.08457 1.87854i −0.0778679 0.134871i
\(195\) 0.997554 + 1.41594i 0.0714363 + 0.101398i
\(196\) 0.694747 1.20334i 0.0496248 0.0859527i
\(197\) 10.2976 0.733675 0.366838 0.930285i \(-0.380440\pi\)
0.366838 + 0.930285i \(0.380440\pi\)
\(198\) −0.154520 + 0.432288i −0.0109813 + 0.0307213i
\(199\) 3.31578 0.235049 0.117525 0.993070i \(-0.462504\pi\)
0.117525 + 0.993070i \(0.462504\pi\)
\(200\) 1.18227 2.04775i 0.0835989 0.144798i
\(201\) 3.48337 0.314887i 0.245698 0.0222104i
\(202\) −3.70715 6.42096i −0.260834 0.451777i
\(203\) 7.44024 + 12.8869i 0.522202 + 0.904481i
\(204\) 8.71496 0.787807i 0.610169 0.0551575i
\(205\) 1.74574 3.02371i 0.121928 0.211185i
\(206\) −8.42463 −0.586972
\(207\) 2.52496 7.06386i 0.175497 0.490972i
\(208\) 1.54574 0.107178
\(209\) −0.437642 + 0.758018i −0.0302723 + 0.0524332i
\(210\) 1.86209 + 2.64308i 0.128497 + 0.182390i
\(211\) −5.85961 10.1491i −0.403392 0.698695i 0.590741 0.806861i \(-0.298836\pi\)
−0.994133 + 0.108166i \(0.965502\pi\)
\(212\) −2.60913 4.51914i −0.179196 0.310376i
\(213\) 2.55839 5.52807i 0.175298 0.378777i
\(214\) −1.38128 + 2.39245i −0.0944226 + 0.163545i
\(215\) −11.3335 −0.772941
\(216\) −11.8399 + 3.28259i −0.805600 + 0.223352i
\(217\) −11.5548 −0.784394
\(218\) 1.62850 2.82065i 0.110296 0.191038i
\(219\) 3.85558 8.33100i 0.260536 0.562957i
\(220\) −0.179451 0.310818i −0.0120986 0.0209553i
\(221\) 1.62086 + 2.80741i 0.109031 + 0.188847i
\(222\) −1.96006 2.78214i −0.131551 0.186725i
\(223\) 0.489654 0.848106i 0.0327897 0.0567934i −0.849165 0.528128i \(-0.822894\pi\)
0.881955 + 0.471334i \(0.156228\pi\)
\(224\) 16.1702 1.08042
\(225\) 2.95137 0.537986i 0.196758 0.0358658i
\(226\) −10.7296 −0.713724
\(227\) −7.98509 + 13.8306i −0.529989 + 0.917967i 0.469399 + 0.882986i \(0.344471\pi\)
−0.999388 + 0.0349814i \(0.988863\pi\)
\(228\) −10.2179 + 0.923666i −0.676695 + 0.0611713i
\(229\) 5.14710 + 8.91505i 0.340130 + 0.589123i 0.984457 0.175628i \(-0.0561955\pi\)
−0.644326 + 0.764751i \(0.722862\pi\)
\(230\) −0.830776 1.43895i −0.0547798 0.0948813i
\(231\) 1.11597 0.100881i 0.0734257 0.00663747i
\(232\) −6.26254 + 10.8470i −0.411156 + 0.712143i
\(233\) 7.73176 0.506524 0.253262 0.967398i \(-0.418496\pi\)
0.253262 + 0.967398i \(0.418496\pi\)
\(234\) −1.29015 1.51965i −0.0843400 0.0993424i
\(235\) 1.44125 0.0940168
\(236\) 6.07228 10.5175i 0.395272 0.684630i
\(237\) 5.38419 + 7.64240i 0.349741 + 0.496427i
\(238\) 3.02559 + 5.24047i 0.196120 + 0.339689i
\(239\) −7.30932 12.6601i −0.472801 0.818915i 0.526715 0.850042i \(-0.323424\pi\)
−0.999515 + 0.0311272i \(0.990090\pi\)
\(240\) 1.12447 2.42971i 0.0725842 0.156837i
\(241\) −7.15642 + 12.3953i −0.460985 + 0.798450i −0.999010 0.0444789i \(-0.985837\pi\)
0.538025 + 0.842929i \(0.319171\pi\)
\(242\) −7.27406 −0.467594
\(243\) −12.8970 8.75601i −0.827342 0.561698i
\(244\) −15.7123 −1.00588
\(245\) 0.445790 0.772130i 0.0284805 0.0493296i
\(246\) −1.68773 + 3.64679i −0.107606 + 0.232511i
\(247\) −1.90038 3.29155i −0.120918 0.209436i
\(248\) −4.86292 8.42283i −0.308796 0.534850i
\(249\) −0.100139 0.142138i −0.00634602 0.00900763i
\(250\) 0.332241 0.575458i 0.0210128 0.0363952i
\(251\) −19.0291 −1.20110 −0.600552 0.799586i \(-0.705052\pi\)
−0.600552 + 0.799586i \(0.705052\pi\)
\(252\) 8.50036 + 10.0124i 0.535472 + 0.630722i
\(253\) −0.575851 −0.0362034
\(254\) −5.89634 + 10.2128i −0.369969 + 0.640805i
\(255\) 5.59202 0.505502i 0.350186 0.0316558i
\(256\) 4.39637 + 7.61473i 0.274773 + 0.475921i
\(257\) 6.97060 + 12.0734i 0.434814 + 0.753120i 0.997280 0.0737002i \(-0.0234808\pi\)
−0.562467 + 0.826820i \(0.690147\pi\)
\(258\) 12.9910 1.17435i 0.808783 0.0731117i
\(259\) −4.15339 + 7.19389i −0.258079 + 0.447007i
\(260\) 1.55846 0.0966518
\(261\) −15.6336 + 2.84975i −0.967694 + 0.176395i
\(262\) −10.0615 −0.621604
\(263\) 5.97895 10.3558i 0.368678 0.638569i −0.620681 0.784063i \(-0.713144\pi\)
0.989359 + 0.145494i \(0.0464772\pi\)
\(264\) 0.543201 + 0.771026i 0.0334317 + 0.0474534i
\(265\) −1.67417 2.89974i −0.102843 0.178130i
\(266\) −3.54736 6.14421i −0.217503 0.376725i
\(267\) −5.12585 + 11.0758i −0.313697 + 0.677826i
\(268\) 1.57352 2.72543i 0.0961183 0.166482i
\(269\) 2.54602 0.155234 0.0776168 0.996983i \(-0.475269\pi\)
0.0776168 + 0.996983i \(0.475269\pi\)
\(270\) −3.32724 + 0.922474i −0.202489 + 0.0561400i
\(271\) 16.6012 1.00845 0.504225 0.863572i \(-0.331778\pi\)
0.504225 + 0.863572i \(0.331778\pi\)
\(272\) 2.50542 4.33952i 0.151914 0.263122i
\(273\) −2.04359 + 4.41571i −0.123684 + 0.267251i
\(274\) −6.91344 11.9744i −0.417656 0.723402i
\(275\) −0.115146 0.199439i −0.00694356 0.0120266i
\(276\) −3.88744 5.51789i −0.233997 0.332138i
\(277\) 8.95287 15.5068i 0.537926 0.931714i −0.461090 0.887353i \(-0.652541\pi\)
0.999016 0.0443610i \(-0.0141252\pi\)
\(278\) −4.46913 −0.268041
\(279\) 4.15342 11.6197i 0.248659 0.695650i
\(280\) 6.64244 0.396962
\(281\) −2.36433 + 4.09514i −0.141044 + 0.244296i −0.927890 0.372854i \(-0.878379\pi\)
0.786846 + 0.617149i \(0.211713\pi\)
\(282\) −1.65202 + 0.149338i −0.0983765 + 0.00889295i
\(283\) 2.98943 + 5.17785i 0.177703 + 0.307791i 0.941094 0.338146i \(-0.109800\pi\)
−0.763390 + 0.645938i \(0.776467\pi\)
\(284\) −2.74045 4.74660i −0.162616 0.281659i
\(285\) −6.55637 + 0.592677i −0.388366 + 0.0351072i
\(286\) −0.0765124 + 0.132523i −0.00452427 + 0.00783627i
\(287\) 9.80825 0.578963
\(288\) −5.81244 + 16.2609i −0.342502 + 0.958185i
\(289\) −6.49128 −0.381840
\(290\) −1.75990 + 3.04823i −0.103345 + 0.178998i
\(291\) −3.25644 4.62223i −0.190896 0.270960i
\(292\) −4.12996 7.15330i −0.241687 0.418615i
\(293\) 7.80549 + 13.5195i 0.456002 + 0.789818i 0.998745 0.0500805i \(-0.0159478\pi\)
−0.542744 + 0.839898i \(0.682614\pi\)
\(294\) −0.430977 + 0.931240i −0.0251351 + 0.0543110i
\(295\) 3.89632 6.74863i 0.226853 0.392920i
\(296\) −6.99193 −0.406397
\(297\) −0.299694 + 1.15850i −0.0173900 + 0.0672227i
\(298\) 14.7508 0.854492
\(299\) 1.25026 2.16552i 0.0723045 0.125235i
\(300\) 1.13373 2.44971i 0.0654557 0.141434i
\(301\) −15.9191 27.5726i −0.917560 1.58926i
\(302\) −1.33669 2.31522i −0.0769179 0.133226i
\(303\) −11.1307 15.7991i −0.639443 0.907633i
\(304\) −2.93749 + 5.08788i −0.168477 + 0.291810i
\(305\) −10.0819 −0.577288
\(306\) −6.35742 + 1.15886i −0.363430 + 0.0662474i
\(307\) 23.7975 1.35819 0.679097 0.734048i \(-0.262371\pi\)
0.679097 + 0.734048i \(0.262371\pi\)
\(308\) 0.504112 0.873148i 0.0287245 0.0497523i
\(309\) −21.8706 + 1.97704i −1.24418 + 0.112470i
\(310\) −1.36658 2.36699i −0.0776165 0.134436i
\(311\) −0.779514 1.35016i −0.0442022 0.0765604i 0.843078 0.537791i \(-0.180741\pi\)
−0.887280 + 0.461231i \(0.847408\pi\)
\(312\) −4.07886 + 0.368717i −0.230920 + 0.0208745i
\(313\) 13.7455 23.8079i 0.776941 1.34570i −0.156756 0.987637i \(-0.550104\pi\)
0.933697 0.358064i \(-0.116563\pi\)
\(314\) 14.5071 0.818684
\(315\) 5.45432 + 6.42453i 0.307316 + 0.361982i
\(316\) 8.41165 0.473192
\(317\) 7.65181 13.2533i 0.429768 0.744381i −0.567084 0.823660i \(-0.691929\pi\)
0.996852 + 0.0792791i \(0.0252618\pi\)
\(318\) 2.21946 + 3.15033i 0.124461 + 0.176662i
\(319\) 0.609935 + 1.05644i 0.0341498 + 0.0591492i
\(320\) 0.366700 + 0.635142i 0.0204991 + 0.0355055i
\(321\) −3.02441 + 6.53504i −0.168806 + 0.364751i
\(322\) 2.33381 4.04228i 0.130058 0.225268i
\(323\) −12.3210 −0.685557
\(324\) −13.1240 + 4.94905i −0.729114 + 0.274947i
\(325\) 1.00000 0.0554700
\(326\) −3.48411 + 6.03465i −0.192967 + 0.334228i
\(327\) 3.56571 7.70466i 0.197184 0.426069i
\(328\) 4.12786 + 7.14967i 0.227923 + 0.394774i
\(329\) 2.02438 + 3.50632i 0.111608 + 0.193310i
\(330\) 0.152650 + 0.216674i 0.00840313 + 0.0119275i
\(331\) 6.68506 11.5789i 0.367444 0.636432i −0.621721 0.783239i \(-0.713566\pi\)
0.989165 + 0.146807i \(0.0468995\pi\)
\(332\) −0.156445 −0.00858604
\(333\) −5.74129 6.76256i −0.314621 0.370586i
\(334\) 4.39377 0.240417
\(335\) 1.00966 1.74879i 0.0551638 0.0955466i
\(336\) 7.49051 0.677121i 0.408641 0.0369400i
\(337\) −17.4801 30.2764i −0.952200 1.64926i −0.740648 0.671893i \(-0.765481\pi\)
−0.211552 0.977367i \(-0.567852\pi\)
\(338\) −0.332241 0.575458i −0.0180715 0.0313008i
\(339\) −27.8545 + 2.51796i −1.51285 + 0.136757i
\(340\) 2.52605 4.37525i 0.136994 0.237281i
\(341\) −0.947241 −0.0512960
\(342\) 7.45378 1.35870i 0.403054 0.0734702i
\(343\) −17.1597 −0.926539
\(344\) 13.3993 23.2082i 0.722441 1.25130i
\(345\) −2.49441 3.54059i −0.134294 0.190619i
\(346\) −5.74385 9.94864i −0.308791 0.534842i
\(347\) 12.1455 + 21.0367i 0.652007 + 1.12931i 0.982635 + 0.185548i \(0.0594059\pi\)
−0.330629 + 0.943761i \(0.607261\pi\)
\(348\) −6.00541 + 12.9763i −0.321924 + 0.695602i
\(349\) −16.1586 + 27.9875i −0.864951 + 1.49814i 0.00214531 + 0.999998i \(0.499317\pi\)
−0.867096 + 0.498141i \(0.834016\pi\)
\(350\) 1.86666 0.0997771
\(351\) −3.70590 3.64229i −0.197807 0.194411i
\(352\) 1.32560 0.0706548
\(353\) 17.0661 29.5593i 0.908334 1.57328i 0.0919565 0.995763i \(-0.470688\pi\)
0.816378 0.577518i \(-0.195979\pi\)
\(354\) −3.76685 + 8.13928i −0.200206 + 0.432598i
\(355\) −1.75843 3.04569i −0.0933278 0.161649i
\(356\) 5.49063 + 9.51004i 0.291003 + 0.504031i
\(357\) 9.08433 + 12.8944i 0.480794 + 0.682445i
\(358\) −5.04568 + 8.73938i −0.266673 + 0.461890i
\(359\) 25.3297 1.33685 0.668426 0.743779i \(-0.266968\pi\)
0.668426 + 0.743779i \(0.266968\pi\)
\(360\) −2.38764 + 6.67970i −0.125840 + 0.352051i
\(361\) −4.55424 −0.239697
\(362\) −8.08647 + 14.0062i −0.425016 + 0.736149i
\(363\) −18.8837 + 1.70703i −0.991137 + 0.0895960i
\(364\) 2.18902 + 3.79149i 0.114736 + 0.198728i
\(365\) −2.65002 4.58996i −0.138708 0.240250i
\(366\) 11.5563 1.04466i 0.604058 0.0546051i
\(367\) −1.79298 + 3.10554i −0.0935930 + 0.162108i −0.909021 0.416751i \(-0.863169\pi\)
0.815428 + 0.578859i \(0.196502\pi\)
\(368\) −3.86516 −0.201485
\(369\) −3.52561 + 9.86327i −0.183536 + 0.513461i
\(370\) −1.96487 −0.102149
\(371\) 4.70306 8.14594i 0.244171 0.422916i
\(372\) −6.39462 9.07661i −0.331546 0.470600i
\(373\) −0.717545 1.24282i −0.0371531 0.0643510i 0.846851 0.531830i \(-0.178496\pi\)
−0.884004 + 0.467479i \(0.845162\pi\)
\(374\) 0.248031 + 0.429603i 0.0128254 + 0.0222142i
\(375\) 0.727463 1.57188i 0.0375661 0.0811714i
\(376\) −1.70394 + 2.95132i −0.0878741 + 0.152202i
\(377\) −5.29706 −0.272812
\(378\) −6.91766 6.79891i −0.355806 0.349698i
\(379\) 34.5139 1.77286 0.886429 0.462864i \(-0.153178\pi\)
0.886429 + 0.462864i \(0.153178\pi\)
\(380\) −2.96167 + 5.12977i −0.151931 + 0.263151i
\(381\) −12.9104 + 27.8964i −0.661421 + 1.42917i
\(382\) −4.73909 8.20834i −0.242473 0.419975i
\(383\) −3.32127 5.75260i −0.169709 0.293944i 0.768609 0.639719i \(-0.220949\pi\)
−0.938317 + 0.345775i \(0.887616\pi\)
\(384\) 10.9981 + 15.6108i 0.561243 + 0.796635i
\(385\) 0.323467 0.560262i 0.0164854 0.0285536i
\(386\) 16.9995 0.865251
\(387\) 33.4495 6.09729i 1.70033 0.309943i
\(388\) −5.08748 −0.258278
\(389\) −15.0663 + 26.0956i −0.763893 + 1.32310i 0.176937 + 0.984222i \(0.443381\pi\)
−0.940830 + 0.338879i \(0.889952\pi\)
\(390\) −1.14624 + 0.103617i −0.0580422 + 0.00524685i
\(391\) −4.05300 7.01999i −0.204969 0.355016i
\(392\) 1.05408 + 1.82573i 0.0532393 + 0.0922132i
\(393\) −26.1201 + 2.36118i −1.31759 + 0.119106i
\(394\) −3.42129 + 5.92585i −0.172362 + 0.298540i
\(395\) 5.39740 0.271573
\(396\) 0.696841 + 0.820796i 0.0350176 + 0.0412465i
\(397\) 25.4593 1.27777 0.638883 0.769304i \(-0.279397\pi\)
0.638883 + 0.769304i \(0.279397\pi\)
\(398\) −1.10164 + 1.90809i −0.0552201 + 0.0956440i
\(399\) −10.6510 15.1181i −0.533214 0.756851i
\(400\) −0.772870 1.33865i −0.0386435 0.0669325i
\(401\) 5.17727 + 8.96730i 0.258541 + 0.447805i 0.965851 0.259097i \(-0.0834251\pi\)
−0.707311 + 0.706903i \(0.750092\pi\)
\(402\) −0.976115 + 2.10915i −0.0486842 + 0.105195i
\(403\) 2.05661 3.56215i 0.102447 0.177444i
\(404\) −17.3894 −0.865153
\(405\) −8.42114 + 3.17559i −0.418450 + 0.157796i
\(406\) −9.88780 −0.490723
\(407\) −0.340486 + 0.589740i −0.0168773 + 0.0292323i
\(408\) −5.57611 + 12.0487i −0.276059 + 0.596498i
\(409\) −14.1797 24.5600i −0.701142 1.21441i −0.968066 0.250696i \(-0.919340\pi\)
0.266923 0.963718i \(-0.413993\pi\)
\(410\) 1.16001 + 2.00920i 0.0572889 + 0.0992273i
\(411\) −20.7576 29.4636i −1.02390 1.45333i
\(412\) −9.87950 + 17.1118i −0.486728 + 0.843037i
\(413\) 21.8911 1.07719
\(414\) 3.22606 + 3.79991i 0.158552 + 0.186756i
\(415\) −0.100384 −0.00492766
\(416\) −2.87809 + 4.98500i −0.141110 + 0.244410i
\(417\) −11.6020 + 1.04879i −0.568153 + 0.0513594i
\(418\) −0.290805 0.503689i −0.0142237 0.0246362i
\(419\) 5.32788 + 9.22817i 0.260284 + 0.450825i 0.966317 0.257353i \(-0.0828504\pi\)
−0.706033 + 0.708179i \(0.749517\pi\)
\(420\) 7.55218 0.682695i 0.368509 0.0333121i
\(421\) −2.97812 + 5.15826i −0.145145 + 0.251398i −0.929427 0.369006i \(-0.879698\pi\)
0.784282 + 0.620404i \(0.213031\pi\)
\(422\) 7.78720 0.379075
\(423\) −4.25366 + 0.775373i −0.206820 + 0.0376999i
\(424\) 7.91724 0.384495
\(425\) 1.62086 2.80741i 0.0786232 0.136179i
\(426\) 2.33117 + 3.30890i 0.112946 + 0.160317i
\(427\) −14.1610 24.5276i −0.685300 1.18697i
\(428\) 3.23964 + 5.61122i 0.156594 + 0.271229i
\(429\) −0.167529 + 0.361990i −0.00808837 + 0.0174771i
\(430\) 3.76547 6.52198i 0.181587 0.314518i
\(431\) −29.7924 −1.43505 −0.717524 0.696534i \(-0.754725\pi\)
−0.717524 + 0.696534i \(0.754725\pi\)
\(432\) −2.01157 + 7.77592i −0.0967817 + 0.374119i
\(433\) −18.3601 −0.882332 −0.441166 0.897426i \(-0.645435\pi\)
−0.441166 + 0.897426i \(0.645435\pi\)
\(434\) 3.83899 6.64932i 0.184277 0.319178i
\(435\) −3.85342 + 8.32632i −0.184757 + 0.399217i
\(436\) −3.81946 6.61550i −0.182919 0.316825i
\(437\) 4.75194 + 8.23061i 0.227316 + 0.393723i
\(438\) 3.51316 + 4.98662i 0.167865 + 0.238270i
\(439\) −7.50668 + 13.0020i −0.358274 + 0.620549i −0.987673 0.156534i \(-0.949968\pi\)
0.629398 + 0.777083i \(0.283301\pi\)
\(440\) 0.544533 0.0259596
\(441\) −0.900294 + 2.51867i −0.0428711 + 0.119937i
\(442\) −2.15406 −0.102458
\(443\) 9.83816 17.0402i 0.467425 0.809604i −0.531882 0.846818i \(-0.678515\pi\)
0.999307 + 0.0372145i \(0.0118485\pi\)
\(444\) −7.94953 + 0.718615i −0.377268 + 0.0341039i
\(445\) 3.52310 + 6.10219i 0.167011 + 0.289272i
\(446\) 0.325366 + 0.563551i 0.0154065 + 0.0266849i
\(447\) 38.2936 3.46163i 1.81123 0.163730i
\(448\) −1.03013 + 1.78424i −0.0486691 + 0.0842974i
\(449\) 22.3106 1.05290 0.526452 0.850205i \(-0.323522\pi\)
0.526452 + 0.850205i \(0.323522\pi\)
\(450\) −0.670976 + 1.87713i −0.0316301 + 0.0884887i
\(451\) 0.804060 0.0378617
\(452\) −12.5825 + 21.7936i −0.591833 + 1.02508i
\(453\) −4.01342 5.69669i −0.188567 0.267654i
\(454\) −5.30594 9.19016i −0.249020 0.431316i
\(455\) 1.40460 + 2.43283i 0.0658486 + 0.114053i
\(456\) 6.53773 14.1265i 0.306157 0.661533i
\(457\) 17.5884 30.4640i 0.822751 1.42505i −0.0808747 0.996724i \(-0.525771\pi\)
0.903626 0.428323i \(-0.140895\pi\)
\(458\) −6.84031 −0.319627
\(459\) −16.2321 + 4.50035i −0.757651 + 0.210058i
\(460\) −3.89698 −0.181698
\(461\) 19.8328 34.3514i 0.923706 1.59991i 0.130077 0.991504i \(-0.458478\pi\)
0.793629 0.608402i \(-0.208189\pi\)
\(462\) −0.312719 + 0.675713i −0.0145490 + 0.0314370i
\(463\) −2.66388 4.61398i −0.123801 0.214430i 0.797463 0.603369i \(-0.206175\pi\)
−0.921264 + 0.388939i \(0.872842\pi\)
\(464\) 4.09394 + 7.09090i 0.190056 + 0.329187i
\(465\) −4.10316 5.82407i −0.190279 0.270085i
\(466\) −2.56880 + 4.44930i −0.118998 + 0.206110i
\(467\) 6.02093 0.278615 0.139308 0.990249i \(-0.455512\pi\)
0.139308 + 0.990249i \(0.455512\pi\)
\(468\) −4.59960 + 0.838433i −0.212617 + 0.0387566i
\(469\) 5.67269 0.261940
\(470\) −0.478842 + 0.829379i −0.0220873 + 0.0382564i
\(471\) 37.6610 3.40444i 1.73533 0.156868i
\(472\) 9.21298 + 15.9574i 0.424062 + 0.734497i
\(473\) −1.30501 2.26035i −0.0600045 0.103931i
\(474\) −6.18673 + 0.559262i −0.284166 + 0.0256878i
\(475\) −1.90038 + 3.29155i −0.0871954 + 0.151027i
\(476\) 14.1923 0.650504
\(477\) 6.50110 + 7.65752i 0.297665 + 0.350614i
\(478\) 9.71382 0.444300
\(479\) 10.2229 17.7066i 0.467098 0.809037i −0.532196 0.846621i \(-0.678633\pi\)
0.999293 + 0.0375843i \(0.0119663\pi\)
\(480\) 5.74210 + 8.15041i 0.262090 + 0.372014i
\(481\) −1.47850 2.56084i −0.0674138 0.116764i
\(482\) −4.75531 8.23643i −0.216598 0.375159i
\(483\) 5.11004 11.0416i 0.232515 0.502410i
\(484\) −8.53023 + 14.7748i −0.387738 + 0.671581i
\(485\) −3.26442 −0.148230
\(486\) 9.32362 4.51257i 0.422928 0.204694i
\(487\) −11.8179 −0.535518 −0.267759 0.963486i \(-0.586283\pi\)
−0.267759 + 0.963486i \(0.586283\pi\)
\(488\) 11.9195 20.6452i 0.539571 0.934564i
\(489\) −7.62868 + 16.4838i −0.344981 + 0.745422i
\(490\) 0.296219 + 0.513066i 0.0133818 + 0.0231780i
\(491\) 21.0956 + 36.5387i 0.952031 + 1.64897i 0.741020 + 0.671483i \(0.234342\pi\)
0.211011 + 0.977484i \(0.432324\pi\)
\(492\) 5.42804 + 7.70463i 0.244715 + 0.347351i
\(493\) −8.58578 + 14.8710i −0.386684 + 0.669756i
\(494\) 2.52553 0.113629
\(495\) 0.447133 + 0.526670i 0.0200971 + 0.0236720i
\(496\) −6.35797 −0.285481
\(497\) 4.93978 8.55594i 0.221579 0.383787i
\(498\) 0.115065 0.0104015i 0.00515617 0.000466102i
\(499\) 18.8086 + 32.5775i 0.841989 + 1.45837i 0.888211 + 0.459437i \(0.151949\pi\)
−0.0462216 + 0.998931i \(0.514718\pi\)
\(500\) −0.779232 1.34967i −0.0348483 0.0603591i
\(501\) 11.4064 1.03110i 0.509600 0.0460663i
\(502\) 6.32223 10.9504i 0.282175 0.488741i
\(503\) 29.4702 1.31401 0.657005 0.753886i \(-0.271823\pi\)
0.657005 + 0.753886i \(0.271823\pi\)
\(504\) −19.6043 + 3.57354i −0.873244 + 0.159178i
\(505\) −11.1580 −0.496525
\(506\) 0.191321 0.331378i 0.00850526 0.0147315i
\(507\) −0.997554 1.41594i −0.0443029 0.0628841i
\(508\) 13.8292 + 23.9528i 0.613570 + 1.06273i
\(509\) 10.5176 + 18.2170i 0.466185 + 0.807456i 0.999254 0.0386160i \(-0.0122949\pi\)
−0.533069 + 0.846071i \(0.678962\pi\)
\(510\) −1.56700 + 3.38592i −0.0693879 + 0.149931i
\(511\) 7.44442 12.8941i 0.329322 0.570402i
\(512\) 16.2075 0.716275
\(513\) 19.0314 5.27645i 0.840257 0.232961i
\(514\) −9.26367 −0.408603
\(515\) −6.33925 + 10.9799i −0.279341 + 0.483833i
\(516\) 12.8491 27.7639i 0.565652 1.22224i
\(517\) 0.165954 + 0.287441i 0.00729865 + 0.0126416i
\(518\) −2.75985 4.78021i −0.121261 0.210030i
\(519\) −17.2459 24.4791i −0.757012 1.07451i
\(520\) −1.18227 + 2.04775i −0.0518458 + 0.0897996i
\(521\) 30.7616 1.34769 0.673845 0.738873i \(-0.264642\pi\)
0.673845 + 0.738873i \(0.264642\pi\)
\(522\) 3.55420 9.94326i 0.155563 0.435205i
\(523\) −14.0570 −0.614672 −0.307336 0.951601i \(-0.599438\pi\)
−0.307336 + 0.951601i \(0.599438\pi\)
\(524\) −11.7991 + 20.4366i −0.515446 + 0.892778i
\(525\) 4.84591 0.438056i 0.211493 0.0191183i
\(526\) 3.97290 + 6.88127i 0.173227 + 0.300038i
\(527\) −6.66695 11.5475i −0.290417 0.503017i
\(528\) 0.614056 0.0555089i 0.0267234 0.00241572i
\(529\) 8.37369 14.5037i 0.364073 0.630594i
\(530\) 2.22491 0.0966437
\(531\) −7.86881 + 22.0138i −0.341477 + 0.955319i
\(532\) −16.6398 −0.721428
\(533\) −1.74574 + 3.02371i −0.0756164 + 0.130971i
\(534\) −4.67062 6.62953i −0.202117 0.286888i
\(535\) 2.07874 + 3.60048i 0.0898717 + 0.155662i
\(536\) 2.38738 + 4.13507i 0.103119 + 0.178608i
\(537\) −11.0479 + 23.8718i −0.476750 + 1.03014i
\(538\) −0.845892 + 1.46513i −0.0364690 + 0.0631661i
\(539\) 0.205324 0.00884391
\(540\) −2.02813 + 7.83994i −0.0872768 + 0.337377i
\(541\) 16.4764 0.708374 0.354187 0.935175i \(-0.384758\pi\)
0.354187 + 0.935175i \(0.384758\pi\)
\(542\) −5.51559 + 9.55328i −0.236915 + 0.410349i
\(543\) −17.7059 + 38.2582i −0.759832 + 1.64182i
\(544\) 9.32996 + 16.1600i 0.400019 + 0.692852i
\(545\) −2.45078 4.24488i −0.104980 0.181831i
\(546\) −1.86209 2.64308i −0.0796902 0.113113i
\(547\) 23.0919 39.9964i 0.987339 1.71012i 0.356295 0.934374i \(-0.384040\pi\)
0.631044 0.775747i \(-0.282627\pi\)
\(548\) −32.4293 −1.38531
\(549\) 29.7554 5.42393i 1.26993 0.231488i
\(550\) 0.153025 0.00652500
\(551\) 10.0664 17.4355i 0.428844 0.742779i
\(552\) 10.1993 0.921987i 0.434111 0.0392424i
\(553\) 7.58117 + 13.1310i 0.322384 + 0.558386i
\(554\) 5.94901 + 10.3040i 0.252749 + 0.437775i
\(555\) −5.10087 + 0.461104i −0.216520 + 0.0195728i
\(556\) −5.24091 + 9.07752i −0.222264 + 0.384973i
\(557\) −38.2914 −1.62246 −0.811229 0.584728i \(-0.801201\pi\)
−0.811229 + 0.584728i \(0.801201\pi\)
\(558\) 5.30668 + 6.25064i 0.224650 + 0.264611i
\(559\) 11.3335 0.479358
\(560\) 2.17114 3.76053i 0.0917475 0.158911i
\(561\) 0.744715 + 1.05706i 0.0314419 + 0.0446290i
\(562\) −1.57105 2.72115i −0.0662709 0.114785i
\(563\) 5.14550 + 8.91227i 0.216857 + 0.375607i 0.953845 0.300298i \(-0.0970861\pi\)
−0.736988 + 0.675905i \(0.763753\pi\)
\(564\) −1.63398 + 3.53065i −0.0688031 + 0.148667i
\(565\) −8.07368 + 13.9840i −0.339662 + 0.588312i
\(566\) −3.97285 −0.166991
\(567\) −19.5540 16.0268i −0.821191 0.673063i
\(568\) 8.31574 0.348921
\(569\) 6.01983 10.4266i 0.252364 0.437108i −0.711812 0.702370i \(-0.752125\pi\)
0.964176 + 0.265262i \(0.0854586\pi\)
\(570\) 1.83723 3.96983i 0.0769532 0.166278i
\(571\) −10.2247 17.7097i −0.427890 0.741127i 0.568796 0.822479i \(-0.307410\pi\)
−0.996685 + 0.0813519i \(0.974076\pi\)
\(572\) 0.179451 + 0.310818i 0.00750322 + 0.0129960i
\(573\) −14.2291 20.1970i −0.594430 0.843742i
\(574\) −3.25870 + 5.64424i −0.136016 + 0.235586i
\(575\) −2.50052 −0.104279
\(576\) −1.42396 1.67726i −0.0593318 0.0698858i
\(577\) 8.66059 0.360545 0.180273 0.983617i \(-0.442302\pi\)
0.180273 + 0.983617i \(0.442302\pi\)
\(578\) 2.15667 3.73546i 0.0897055 0.155375i
\(579\) 44.1313 3.98934i 1.83403 0.165791i
\(580\) 4.12764 + 7.14928i 0.171391 + 0.296858i
\(581\) −0.140999 0.244218i −0.00584964 0.0101319i
\(582\) 3.74182 0.338250i 0.155103 0.0140209i
\(583\) 0.385547 0.667787i 0.0159677 0.0276569i
\(584\) 12.5321 0.518582
\(585\) −2.95137 + 0.537986i −0.122024 + 0.0222430i
\(586\) −10.3732 −0.428513
\(587\) −19.6997 + 34.1208i −0.813092 + 1.40832i 0.0975972 + 0.995226i \(0.468884\pi\)
−0.910690 + 0.413091i \(0.864449\pi\)
\(588\) 1.38610 + 1.96744i 0.0571616 + 0.0811359i
\(589\) 7.81668 + 13.5389i 0.322081 + 0.557860i
\(590\) 2.58903 + 4.48434i 0.106589 + 0.184617i
\(591\) −7.49114 + 16.1866i −0.308145 + 0.665828i
\(592\) −2.28537 + 3.95839i −0.0939283 + 0.162689i
\(593\) 4.26159 0.175002 0.0875012 0.996164i \(-0.472112\pi\)
0.0875012 + 0.996164i \(0.472112\pi\)
\(594\) −0.567095 0.557360i −0.0232682 0.0228688i
\(595\) 9.10661 0.373335
\(596\) 17.2982 29.9613i 0.708560 1.22726i
\(597\) −2.41211 + 5.21200i −0.0987211 + 0.213313i
\(598\) 0.830776 + 1.43895i 0.0339730 + 0.0588429i
\(599\) 13.3206 + 23.0720i 0.544266 + 0.942696i 0.998653 + 0.0518919i \(0.0165251\pi\)
−0.454387 + 0.890805i \(0.650142\pi\)
\(600\) 2.35875 + 3.34804i 0.0962955 + 0.136683i
\(601\) −21.2732 + 36.8462i −0.867751 + 1.50299i −0.00346220 + 0.999994i \(0.501102\pi\)
−0.864289 + 0.502995i \(0.832231\pi\)
\(602\) 21.1559 0.862249
\(603\) −2.03906 + 5.70450i −0.0830371 + 0.232305i
\(604\) −6.27010 −0.255127
\(605\) −5.47348 + 9.48035i −0.222529 + 0.385431i
\(606\) 12.7898 1.15616i 0.519549 0.0469657i
\(607\) −5.14131 8.90502i −0.208679 0.361443i 0.742619 0.669714i \(-0.233583\pi\)
−0.951299 + 0.308270i \(0.900250\pi\)
\(608\) −10.9389 18.9468i −0.443632 0.768393i
\(609\) −25.6691 + 2.32041i −1.04016 + 0.0940278i
\(610\) 3.34962 5.80171i 0.135622 0.234904i
\(611\) −1.44125 −0.0583067
\(612\) −5.10148 + 14.2719i −0.206215 + 0.576909i
\(613\) 2.78688 0.112561 0.0562804 0.998415i \(-0.482076\pi\)
0.0562804 + 0.998415i \(0.482076\pi\)
\(614\) −7.90650 + 13.6945i −0.319080 + 0.552663i
\(615\) 3.48294 + 4.94373i 0.140446 + 0.199350i
\(616\) 0.764850 + 1.32476i 0.0308167 + 0.0533761i
\(617\) −21.4024 37.0700i −0.861627 1.49238i −0.870358 0.492420i \(-0.836113\pi\)
0.00873099 0.999962i \(-0.497221\pi\)
\(618\) 6.12861 13.2425i 0.246529 0.532691i
\(619\) −3.74849 + 6.49257i −0.150664 + 0.260958i −0.931472 0.363813i \(-0.881475\pi\)
0.780807 + 0.624772i \(0.214808\pi\)
\(620\) −6.41031 −0.257444
\(621\) 9.26670 + 9.10764i 0.371860 + 0.365477i
\(622\) 1.03594 0.0415376
\(623\) −9.89708 + 17.1422i −0.396518 + 0.686790i
\(624\) −1.12447 + 2.42971i −0.0450148 + 0.0972663i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 9.13363 + 15.8199i 0.365053 + 0.632291i
\(627\) −0.873142 1.23935i −0.0348699 0.0494948i
\(628\) 17.0124 29.4663i 0.678868 1.17583i
\(629\) −9.58575 −0.382209
\(630\) −5.50920 + 1.00424i −0.219492 + 0.0400098i
\(631\) 2.02620 0.0806619 0.0403310 0.999186i \(-0.487159\pi\)
0.0403310 + 0.999186i \(0.487159\pi\)
\(632\) −6.38117 + 11.0525i −0.253829 + 0.439645i
\(633\) 20.2158 1.82745i 0.803507 0.0726348i
\(634\) 5.08449 + 8.80659i 0.201931 + 0.349754i
\(635\) 8.87359 + 15.3695i 0.352138 + 0.609920i
\(636\) 9.00158 0.813717i 0.356936 0.0322660i
\(637\) −0.445790 + 0.772130i −0.0176628 + 0.0305929i
\(638\) −0.810581 −0.0320912
\(639\) 6.82832 + 8.04294i 0.270124 + 0.318174i
\(640\) 11.0250 0.435803
\(641\) −2.06080 + 3.56940i −0.0813965 + 0.140983i −0.903850 0.427849i \(-0.859271\pi\)
0.822453 + 0.568832i \(0.192605\pi\)
\(642\) −2.75581 3.91163i −0.108763 0.154380i
\(643\) 10.1784 + 17.6295i 0.401396 + 0.695239i 0.993895 0.110333i \(-0.0351917\pi\)
−0.592499 + 0.805572i \(0.701858\pi\)
\(644\) −5.47369 9.48070i −0.215693 0.373592i
\(645\) 8.24474 17.8149i 0.324636 0.701462i
\(646\) 4.09353 7.09020i 0.161058 0.278960i
\(647\) −9.76640 −0.383957 −0.191978 0.981399i \(-0.561490\pi\)
−0.191978 + 0.981399i \(0.561490\pi\)
\(648\) 3.45323 20.9988i 0.135656 0.824909i
\(649\) 1.79458 0.0704435
\(650\) −0.332241 + 0.575458i −0.0130316 + 0.0225713i
\(651\) 8.40572 18.1628i 0.329446 0.711856i
\(652\) 8.17156 + 14.1536i 0.320023 + 0.554296i
\(653\) −24.6834 42.7529i −0.965937 1.67305i −0.707076 0.707137i \(-0.749986\pi\)
−0.258861 0.965915i \(-0.583347\pi\)
\(654\) 3.24903 + 4.61172i 0.127047 + 0.180332i
\(655\) −7.57097 + 13.1133i −0.295822 + 0.512379i
\(656\) 5.39692 0.210714
\(657\) 10.2905 + 12.1210i 0.401471 + 0.472885i
\(658\) −2.69032 −0.104880
\(659\) 3.52180 6.09994i 0.137190 0.237620i −0.789242 0.614082i \(-0.789526\pi\)
0.926432 + 0.376462i \(0.122860\pi\)
\(660\) 0.619112 0.0559659i 0.0240989 0.00217847i
\(661\) 11.1100 + 19.2430i 0.432128 + 0.748467i 0.997056 0.0766727i \(-0.0244296\pi\)
−0.564929 + 0.825140i \(0.691096\pi\)
\(662\) 4.44210 + 7.69394i 0.172647 + 0.299034i
\(663\) −5.59202 + 0.505502i −0.217176 + 0.0196321i
\(664\) 0.118681 0.205561i 0.00460571 0.00797733i
\(665\) −10.6771 −0.414039
\(666\) 5.79906 1.05707i 0.224709 0.0409608i
\(667\) 13.2454 0.512865
\(668\) 5.15254 8.92446i 0.199358 0.345298i
\(669\) 0.976913 + 1.38664i 0.0377696 + 0.0536107i
\(670\) 0.670903 + 1.16204i 0.0259192 + 0.0448934i
\(671\) −1.16089 2.01072i −0.0448157 0.0776230i
\(672\) −11.7633 + 25.4176i −0.453778 + 0.980506i
\(673\) 5.46905 9.47267i 0.210816 0.365145i −0.741154 0.671335i \(-0.765721\pi\)
0.951970 + 0.306191i \(0.0990545\pi\)
\(674\) 23.2304 0.894801
\(675\) −1.30136 + 5.03055i −0.0500895 + 0.193626i
\(676\) −1.55846 −0.0599409
\(677\) −4.35062 + 7.53550i −0.167208 + 0.289613i −0.937437 0.348154i \(-0.886808\pi\)
0.770229 + 0.637767i \(0.220142\pi\)
\(678\) 7.80541 16.8656i 0.299765 0.647721i
\(679\) −4.58520 7.94180i −0.175964 0.304778i
\(680\) 3.83257 + 6.63821i 0.146972 + 0.254564i
\(681\) −15.9311 22.6128i −0.610481 0.866525i
\(682\) 0.314712 0.545098i 0.0120510 0.0208729i
\(683\) 7.83468 0.299786 0.149893 0.988702i \(-0.452107\pi\)
0.149893 + 0.988702i \(0.452107\pi\)
\(684\) 5.98124 16.7332i 0.228698 0.639809i
\(685\) −20.8085 −0.795053
\(686\) 5.70117 9.87471i 0.217672 0.377018i
\(687\) −17.7577 + 1.60524i −0.677498 + 0.0612439i
\(688\) −8.75935 15.1716i −0.333947 0.578413i
\(689\) 1.67417 + 2.89974i 0.0637806 + 0.110471i
\(690\) 2.86621 0.259097i 0.109115 0.00986365i
\(691\) 18.7536 32.4822i 0.713420 1.23568i −0.250145 0.968208i \(-0.580478\pi\)
0.963566 0.267472i \(-0.0861882\pi\)
\(692\) −26.9431 −1.02422
\(693\) −0.653258 + 1.82756i −0.0248152 + 0.0694233i
\(694\) −16.1410 −0.612703
\(695\) −3.36287 + 5.82466i −0.127561 + 0.220942i
\(696\) −12.4944 17.7348i −0.473600 0.672234i
\(697\) 5.65920 + 9.80201i 0.214357 + 0.371278i
\(698\) −10.7371 18.5972i −0.406405 0.703915i
\(699\) −5.62457 + 12.1534i −0.212741 + 0.459683i
\(700\) 2.18902 3.79149i 0.0827370 0.143305i
\(701\) −34.0001 −1.28416 −0.642082 0.766636i \(-0.721929\pi\)
−0.642082 + 0.766636i \(0.721929\pi\)
\(702\) 3.32724 0.922474i 0.125578 0.0348166i
\(703\) 11.2388 0.423881
\(704\) −0.0844479 + 0.146268i −0.00318275 + 0.00551269i
\(705\) −1.04846 + 2.26547i −0.0394872 + 0.0853225i
\(706\) 11.3401 + 19.6416i 0.426789 + 0.739221i
\(707\) −15.6725 27.1456i −0.589426 1.02091i
\(708\) 12.1148 + 17.1960i 0.455304 + 0.646264i
\(709\) 20.4335 35.3919i 0.767397 1.32917i −0.171573 0.985171i \(-0.554885\pi\)
0.938970 0.343999i \(-0.111782\pi\)
\(710\) 2.33689 0.0877019
\(711\) −15.9297 + 2.90373i −0.597411 + 0.108898i
\(712\) −16.6610 −0.624397
\(713\) −5.14260 + 8.90725i −0.192592 + 0.333579i
\(714\) −10.4384 + 0.943600i −0.390647 + 0.0353133i
\(715\) 0.115146 + 0.199439i 0.00430621 + 0.00745858i
\(716\) 11.8341 + 20.4972i 0.442260 + 0.766016i
\(717\) 25.2174 2.27958i 0.941761 0.0851325i
\(718\) −8.41556 + 14.5762i −0.314066 + 0.543978i
\(719\) −33.2593 −1.24036 −0.620181 0.784459i \(-0.712941\pi\)
−0.620181 + 0.784459i \(0.712941\pi\)
\(720\) 3.00120 + 3.53505i 0.111848 + 0.131744i
\(721\) −35.6164 −1.32642
\(722\) 1.51310 2.62077i 0.0563119 0.0975351i
\(723\) −14.2778 20.2661i −0.530998 0.753705i
\(724\) 18.9659 + 32.8499i 0.704862 + 1.22086i
\(725\) 2.64853 + 4.58739i 0.0983639 + 0.170371i
\(726\) 5.29161 11.4339i 0.196390 0.424353i
\(727\) −7.54471 + 13.0678i −0.279818 + 0.484659i −0.971339 0.237697i \(-0.923607\pi\)
0.691521 + 0.722356i \(0.256941\pi\)
\(728\) −6.64244 −0.246185
\(729\) 23.1455 13.9028i 0.857239 0.514918i
\(730\) 3.52178 0.130347
\(731\) 18.3701 31.8179i 0.679441 1.17683i
\(732\) 11.4301 24.6978i 0.422469 0.912856i
\(733\) 3.43481 + 5.94926i 0.126867 + 0.219741i 0.922461 0.386089i \(-0.126174\pi\)
−0.795594 + 0.605830i \(0.792841\pi\)
\(734\) −1.19140 2.06357i −0.0439756 0.0761679i
\(735\) 0.889398 + 1.26242i 0.0328059 + 0.0465652i
\(736\) 7.19674 12.4651i 0.265275 0.459470i
\(737\) 0.465035 0.0171298
\(738\) −4.50455 5.30582i −0.165815 0.195310i
\(739\) 53.1537 1.95529 0.977645 0.210265i \(-0.0674326\pi\)
0.977645 + 0.210265i \(0.0674326\pi\)
\(740\) −2.30419 + 3.99097i −0.0847037 + 0.146711i
\(741\) 6.55637 0.592677i 0.240854 0.0217725i
\(742\) 3.12510 + 5.41283i 0.114726 + 0.198711i
\(743\) −21.3602 36.9969i −0.783629 1.35729i −0.929815 0.368028i \(-0.880033\pi\)
0.146185 0.989257i \(-0.453300\pi\)
\(744\) 16.7773 1.51662i 0.615084 0.0556018i
\(745\) 11.0995 19.2249i 0.406654 0.704345i
\(746\) 0.953590 0.0349134
\(747\) 0.296271 0.0540053i 0.0108400 0.00197595i
\(748\) 1.16346 0.0425402
\(749\) −5.83959 + 10.1145i −0.213374 + 0.369574i
\(750\) 0.662856 + 0.940866i 0.0242041 + 0.0343556i
\(751\) −8.29029 14.3592i −0.302517 0.523975i 0.674188 0.738559i \(-0.264494\pi\)
−0.976705 + 0.214585i \(0.931160\pi\)
\(752\) 1.11390 + 1.92933i 0.0406197 + 0.0703554i
\(753\) 13.8429 29.9113i 0.504465 1.09003i
\(754\) 1.75990 3.04823i 0.0640917 0.111010i
\(755\) −4.02326 −0.146421
\(756\) −21.9220 + 6.07785i −0.797294 + 0.221049i
\(757\) −28.7091 −1.04345 −0.521725 0.853114i \(-0.674711\pi\)
−0.521725 + 0.853114i \(0.674711\pi\)
\(758\) −11.4669 + 19.8613i −0.416497 + 0.721394i
\(759\) 0.418910 0.905166i 0.0152055 0.0328555i
\(760\) −4.49351 7.78299i −0.162997 0.282319i
\(761\) 3.37843 + 5.85160i 0.122468 + 0.212121i 0.920740 0.390176i \(-0.127586\pi\)
−0.798272 + 0.602296i \(0.794253\pi\)
\(762\) −11.7638 16.6977i −0.426158 0.604895i
\(763\) 6.88473 11.9247i 0.249244 0.431703i
\(764\) −22.2300 −0.804252
\(765\) −3.27340 + 9.15769i −0.118350 + 0.331097i
\(766\) 4.41384 0.159479
\(767\) −3.89632 + 6.74863i −0.140688 + 0.243679i
\(768\) −15.1676 + 1.37111i −0.547314 + 0.0494756i
\(769\) 14.3441 + 24.8447i 0.517262 + 0.895923i 0.999799 + 0.0200481i \(0.00638193\pi\)
−0.482537 + 0.875875i \(0.660285\pi\)
\(770\) 0.214938 + 0.372284i 0.00774583 + 0.0134162i
\(771\) −24.0488 + 2.17394i −0.866096 + 0.0782926i
\(772\) 19.9352 34.5287i 0.717482 1.24272i
\(773\) 33.4431 1.20286 0.601432 0.798924i \(-0.294597\pi\)
0.601432 + 0.798924i \(0.294597\pi\)
\(774\) −7.60454 + 21.2745i −0.273339 + 0.764697i
\(775\)